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Finding the Fourth Proportional to 20,408.02, 30,613.72 and 5,618.14

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Solution

The fourth proportional to 20,408.02, 30,613.72 and 5,618.14 is: 8,427.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,408.02 : 30,613.72 = 5,618.14 : x
  2. Step 2: Convert to fraction form
    20,408.02/30,613.72 = 5,618.14/x
  3. Step 3: Cross multiply
    20,408.02x = 30,613.72 × 5,618.14
  4. Step 4: Simplify right side
    20,408.02x = 171,992,164.88
  5. Step 5: Solve for x
    x = 171,992,164.88/20,408.02
  6. Step 6: Final answer
    x = 8,427.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.